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Properties of the Number 3560

Three Thousand Five Hundred Sixty

Basics

Value: 3559 → 3560 → 3561

Parity: even

Prime: No

Previous Prime: 3559

Next Prime: 3571

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 3 × 5 × 89

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 89, 178

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110111101000

Octal: 6750

Duodecimal: 2088

Hexadecimal: de8

Square: 12673600

Square Root: 59.665735560705194

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336
Number T(n,k) of partitions of n where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order and all k letters occur at least once in the partition; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A261719
Numbers of the form 9·h2 + 2·h, for h an integer. A132355
Numbers k such that φ(x) = k has exactly 5 solutions. A60668
T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically. A207254
a(1)=0; thereafter, a(n) is the smallest number such that the addition table for (a(1),...,a(n)) contains n*(n+1)/2 different entries, and the multiplication table for (a(2),...,a(n)) contains n*(n-1)/2 different nonzero entries (the maximum possible in both cases). A337656
Number of non-weakly alternating patterns of length n. A350138
T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal. A223625
Nonsquarefree numbers appearing exactly twice in A377783 (least nonsquarefree number > prime(n)). A378083
Number of strict integer partitions of n > 0 such that the least and greatest parts are either both even or both odd (equivalently, their sum is even). A391227